Problem
ALG-B1-M12-P003 Variant 1, Problem 3
#3
★★☆☆☆ Level 2 of 5
For \(x>0\), prove \(x+\frac{1}{x}\ge2\).
AM-GM.
\(x+\frac{1}{x}\ge2\sqrt{1}=2\).
Mock olympiad problem. Tags: am-gm.